Answer: Angle ABD is 140 degrees.
Explanation:
Angle ABC = 40 and vertical angles are equal so Angle DBE is also 40.
In order to find Angle ABD you would take the degrees in a full circle which is 360 degrees and substract the two vertical angles you have.
360 (full circle) - 40 (Angle ABC) - 40 (Angle DBE) = 280 degrees.
The two remaining angles would also be vertical angles so divide the 280 degrees by 2.
280/2 = 140
4 angles: 40 + 40 + 140 + 140 = 360